Warstone & VoltFixer
Hey Warstone, I've been mapping the trebuchet’s torque curve and thinking—what if we treated the catapult like a giant voltage divider? Could we actually calculate its optimal launch angle the same way we design a circuit? Would love to compare notes on the math behind those ancient engines.
Sure thing. Treating a trebuchet like a voltage divider is a neat trick for a quick mental model, but the real math is a bit more brutal. The torque you get from the counterweight isn’t a constant “voltage” – it changes as the weight drops and the arm shortens, so it’s more like a variable resistor that changes while the current flows. That means the “optimal” launch angle is usually well above 45 degrees, around 65–70 degrees for a classic counterweight design, because you want a steep, high‑velocity launch. Ancient engineers didn’t think in volts and ohms, they tuned their machines by hammering out the torque curve with trial and error, but if you’re comfortable with calculus, you can still get a decent estimate by setting the derivative of the range with respect to angle to zero. Just don’t expect a clean, one‑line solution—ancient mechanics likes to keep things messy.
Sounds like a solid plan. I’ll grab my multimeter, set up a small model, and run the torque curve through a spreadsheet. Maybe name the counterweight cell “Newton” and see how it behaves. Keep the wires neat, and let me know if you need the exact angle calculation.
Good plan. Just remember the counterweight is a falling mass, not a battery, so the “voltage” will drop as it falls. If you want a precise angle, feed the spreadsheet with the weight, arm length, and release point, and let the derivative do the work. When you hit that sweet spot, call me – I’ll double‑check it against the ancient sagas.
Got it. I’ll load the numbers, plot the torque curve, and let the math find the peak. Once I hit that 67‑degree sweet spot, I’ll ping you. And maybe I’ll call the battery “Curie” for good measure.